Math Elementary

Why mental math?

The authors state that "two common problems found in all levels of math classes are the inconsistencies of math terminology and the lack of self confidence in students when answering simple math questions." This series of books was written to address these problems and to provide practice in solving math problems both mentally and quickly. The use of terminology from standardized tests is also beneficial; my children have been confused by different terms even when they understood the concepts well. To a first-grader, "add" doesn't always mean the same thing as "plus". This series of math supplements is available for grades 1 to 5, and is designed to be used each day of the school year for the first 10 minutes of math class. These courses provide practice and review, but no direct instruction; this is not a complete math program. In addition, these courses require the active participation of the teacher; Mental Math cannot be considered an independent program. From my perspective, this is a particular strength for homeschoolers. Many students work on their math independently, and these courses give the homeschool teacher an opportunity to casually and regularly assess the progress of their student. First graders begin in the second semester of the school year while the other grades start at the beginning of the school year. With the exception of the first grade book, each book begins by reviewing material from the previous grade level. The instructions for each book clearly state that the teacher is to read the questions to the student twice and then to go on to the next question. The student is not permitted to ask questions, to talk, or to request that the problem be repeated. The student is also not permitted to use scratch paper. Because these courses were designed for the classroom, the student is instructed to write the answer. In a homeschool setting, the answers could be given orally as well. The only confusing part of the program to me was the numbering system used on the daily worksheets. Each sheet is coded with the grade level and the types of problems being practiced. A key is provided to explain it, and the system makes sense, but I floundered a bit until I developed some experience. This is done to provide flexibility; the program does not have to be used in a specific order. My children have enjoyed these books, and they look forward to showing me just how much they have learned. Sometimes they are quicker to find a solution than I am. Reviewed by S.K.

A Million Dots

Author(s): 
Andrew Clements
Illustrator(s): 
Reed, Mike
Number of pages: 
48 pages
Copyright: 
2005
ISBN / ID: 
9780689858246
Publisher: 
Simon & Schuster Books for Young Readers
Subject(s): 
Grade / Age level: 
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Review: 

There are indeed a million dots in the book, although the book states it would take over eleven days for the reader to actually count them! On each page one of the dot numbers is highlighted and a large illustration depicts what that number represents. For instance, dot number 265,000 represents the number of different kinds of moths and butterflies on earth, and dot number 615,100 represents the number of words in the Oxford English Dictionary.

Kids and adults alike will like this book. Interesting, fun facts aided by the colorful illustrations over the dots provide a way to better understand how much a million really is!

Reviewed by: 
First reviewed: 
Mar 27, 2009

Ask Albert Einstein

Author(s): 
Lynne Barasch
Number of pages: 
40 pages
Copyright: 
2005
ISBN / ID: 
9780374304355
Publisher: 
Farrar, Straus and Giroux (BYR)
Binding: 
Hardcover
Grade / Age level: 
Resource Type: 
Review: 
Back flap of book

So maybe your elementary school age child will not learn much Math with this book--the one problem shown involves the Pythagorean theorem and it shows the external tangent line touching two circles--but she may learn a few related things: who is Albert Einstein, why he came to America, where he worked and study, ... and how he actually helped some kids with their Math homework!

My husband enjoyed the allusion to Archimedes in Annabelle's bathtub scene... and my favorite pages in the whole book are the inside pages of the front and back covers: Einstein's own quotes each illustrated with adorable drawings of Einstein doing all sort of things. Here are a couple: "When the solution is simple, God is answering," and. "Joy in looking and comprehending is nature's most beautiful gifts." A very cute story, based on real events, this book enchanted our 10 year old Math-challenged artistically oriented student.

Reviewed by: 
First reviewed: 
May 01, 2009

Catholic Math Activities

Book cover: 'Catholic Math Activities'
Author(s): 
Mary Ann Grobbel
Number of pages: 
102 pages
Copyright: 
1999
Publisher: 
Catholic Heritage Curricula
Binding: 
Stapled Softcover
Subject(s): 
Grade / Age level: 
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If you're looking for a way to liven up your math program or to bring in some painless math review you have to pick up this book. Catholic Math Activities provides dozens of math games that children actually enjoy playing and almost all of them only require dice and simple home-made material. The author makes use of children's interests by revolving the games around things such as baseball cards and animals. What really pleased me about this program is the clever way our Catholic faith was brought into these games. Some of the games revolve around a short story involving our faith, bible stories (e.g. Noah's Ark and 2 by 2) and simple Catholic sayings to name a few.

I was especially delighted that this book provides games for such a wide range of ages and with a text that is simple enough that an older sibling can read the instructions and then go on to play the game with the younger child. Topping off the program are 40 nicely hand-drawn illustrations of saints. Each saint is accompanied with a short biography and math problems which, when solved, give the child information as to how the picture should be colored. This is definitely a new twist on color by number and one that my children have enjoyed.

Perspective: 
Catholic
Reviewed by: 
First reviewed: 
3-9-01

Cuisenaire Rods

Publisher: 
ETA/Cuisenaire
Subject(s): 
Grade / Age level: 
Resource Type: 
Review: 
When I first researched homeschooling products and resources, I spent quite some time looking at different math manipulatives. For one thing, there are so many, and for another, I love math. I remember wondering whether these colored rods would really be worth purchasing, as they are on the expensive side. And my math education, as far as I could remember, had been accomplished without a single manipulative. Then I found Miquon Math, and immediately liked the concept. Miquon uses Cuisenaire rods as their primary manipulative, so with some trepidation, I acquired a starter set. I needn't have worried. The rods made math so much easier for my very concrete, hands-on son to grasp. That was almost a decade ago, and now my youngest enjoys doing his math with the rods. The concept behind the rods is simple. Each rod color is a specific length, representing a particular number of units. White rods are "units" 1cm long, reds are twice as long and represent the number 2, and so forth. A starter set comes with several of each rod from 1-10, with more of the smaller rods. The child then uses the rods in combination to visualize basic math concepts. Perhaps it is obvious that addition can be modeled using such rods, simply by putting them end to end in a "train." However, they can also be used for subtraction, multiplication, and division, and even fractions, areas, and more. Using the Cuisenaire rods, quite young children can understand what multiplication means and can work out simple problems. We actually own a lot of math manipulatives, including both store-bought and homemade ones, but these are the ones I use the most.
Reviewed by: 
First reviewed: 
5-5-2009

Fun with Roman Numerals

Author(s): 
David A. Adler
Illustrator(s): 
Edward Miller
Number of pages: 
32 pages
Copyright: 
2008
ISBN / ID: 
9780823420605
Publisher: 
Holiday House
Subject(s): 
Resource Type: 
Review: 

I showed this book and read it aloud to my kids in Junior Classical League's last meeting, and except for one kid, the  club's president and a Latin aficionado, none of us knew about the Roman numerals on the two last pages! Have fun learning!

From the publisher: 

Page IV, Super Bowl XLV. Built in MMVIII. Roman numerals are everywhere---on clocks, in books, and on buildings. But what do Roman numerals mean, and how does one use them? Fun with Roman Numerals is a straightforward and appealing introduction to a timely topic. On a scale of I to X, it's an XI! 

Reviewed by: 
First reviewed: 
February 05, 2009

Great Estimations

Author(s): 
Bruce Goldstone
Number of pages: 
32 pages
Copyright: 
2006
Publisher: 
Henry Holt and Company
Binding: 
Sewn Hardcover
Subject(s): 
Grade / Age level: 
Resource Type: 
Review: 
Reviewed by: 
First reviewed: 
3-17-2007

Greater Estimations

Author(s): 
Bruce Goldstone
Number of pages: 
31 pages
Copyright: 
2008
ISBN / ID: 
9781250079619
Publisher: 
Henry Holt & Company
Subject(s): 
Grade / Age level: 
Resource Type: 
Review: 

You may have enjoyed, like we have, Great Estimations in the past. I was happy to find in the library this week a brand new sequel by the same author!

Greater Estimations deals still with estimations, as as the cover says, it deals with greater estimations. Be prepared for some large numbers, and if you read it aloud it may generate some fun discussions! I had lunch today with my friend and neighbor Mary Daly, the author of the well-known homeschool science program entitled The Universe in My Hands, and over some awesome enchiladas after our bishop's pro-life mass we discussed how so few people have a good grasp of how many a million is. Or even one thousand. We went on to estimate the chips in the basket next to the yummy salsa!

Reviewed by: 
First reviewed: 
January 22, 2009

Learning Palette Mathematics

Image of set: 'Learning Palette Mathematics'
Subject(s): 
Grade / Age level: 
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Review: 

Learning Wrap-Ups, plastic palette and colored discs with self-correcting card sets (This review is based on use of the first and third grade sets).

Actual size is approx. 12 in. diameterThis clever learning tool for young children features an almost 12 inch diameter "palette" which holds a double-sided learning card and 12 different colored discs. A clear plastic lid is included. I have been very impressed with how these palettes hold up under a lot of use (and occasional abuse from babies and toddlers). Each card has pictorial equations or problems on one side. The child matches the correct color/shape disc with the answer he chooses. When finished placing all twelve discs, he can turn the card over and correct the answers himself.

Cards are purchased in sets of 12 (a total of 144 problems since there are 12 problems per page). Math sets are available for first through third grade. There are six card sets available for each of these three grades:

Three sets of Numeration Cards: The numeration sets cover all kinds of basic math operations with an appropriate level of challenge and content.

One set of Algebra Concept Cards: First grade algebra card "challenges" include recognizing missing numbers and finding missing shapes. The third grade cards involve solving for the unknown in addition subtraction, multiplication and division.

One set of Geometry and Measurement Cards: First grade cards cover shape names, volume, calendars, telling time and reading thermometers. The third grade set covers includes problems regarding perimeter, area, geometric forms and terms, simple graphing and units of measurement.

One set of Probability and Statistics Cards: These cards cover topics like "more and less likely" and tallying in the first grade set. The third grade set provides practice in the relationship between fractions and probability, determining the likelihood of an event and using the data from charts to draw conclusions.

I am very impressed with the level of challenge and variety of topics covered at appropriate age-levels (they meet the National Council of Teachers of Mathematics standards). We have found these particularly nice because they offer mental stimulation while taking a break from writing-skills (which can be very taxing on children in the early grades). For example, we used these with my third grade son last year as a supplement to MCP 3rd Grade Math. Some days he would just do Learning Palettes for his Math assignment. (In addition, I had him spend some time doing mazes and other fine-motor skill building activities.) He didn't do every page of the MCP book - instead I let him test out of some of the chapters (he had to achieve a very good score in order to skip the chapter - naturally we had to discuss some concepts as they came up on the Learning Palettes as well).

Investing in the entire line of Learning Palettes can be rather expensive. The Palette itself is about $15 and each card set is $10 (you can buy grade-level groupings of six sets for a little less). I found this investment to be quite worthwhile since the product is non-consumable (and quite sturdy). The material is very straightforward and well thought-out.

Reviewed by: 
First reviewed: 
7-7-05

Learning Wrap-Ups: Basic Math Introductory Kit

Book cover: 'Learning Wrap-Ups: Basic Math Introductory Kit'
Subject(s): 
Grade / Age level: 
Resource Type: 
Review: 

These colorful key-shaped plastic flash cards allow students to practice basic Math skills by wrapping a string around the ribbed edges of each card to identify the correct answer. (Cards are attached together on a pivot point in groupings of 10 cards organized by operation.) The cards are cleverly self-correcting – when the child finishes each card, they simply flip it over; when all answers are correct, the string will match the diagram on the back of the card. The basic operations sets are simple equations where you match the equation to the correct answer. For the fractions set, you are matching equivalent fractions – pictures to fractions, pictures to pictures and fractions to fractions – plus a few simple equations which involve adding and subtracting fractions.

We have found this to be a great way for our children to practice their basic math facts. They are colorful and appealing and offer a welcome change from regular book-work.

Please note when ordering this product that there are many varieties of this product – some including CDs or workbooks, or even large classroom size sets. The set reviewed here retails for about $45-$50 (in 2024) and contains 5 flash-card sets – Addition, Subtraction, Multiplication, Division and Fractions.

Also see the Learning Wrap Ups website for more details and an animated demo.

Another reviewer (Suchi Myjak) notes: One of my sons is a highly visual learner, so much so that he managed to memorize the patterns that the strings made on the fronts of the keys. He could "do" the wrap-ups incredibly fast, but was not actually learning the facts. Parents may want to occasionally check the student's math facts in some other way to ensure that they are really getting learning. The wrap-ups did work well for my other children.

Reviewed by: 
First reviewed: 
2-1-05

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